Question

In how many ways can an examinee answer a set of ten true/false type questions?

Answer 1

Number of ways of answering the first question = 2 (either true or false)
Similarly, each question can be answered in 2 ways.
∴ Total number of ways of answering all the 10 questions = 2$\times$2$\times$2$\times$2$\times$2$\times$2$\times$2$\times$2$\times$2$\times$2 = $2^{10}$ = 1024